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Finding the Fourth Proportional to 2,024.64, 3,034.74 and 854.37

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Solution

The fourth proportional to 2,024.64, 3,034.74 and 854.37 is: 1,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.64 : 3,034.74 = 854.37 : x
  2. Step 2: Convert to fraction form
    2,024.64/3,034.74 = 854.37/x
  3. Step 3: Cross multiply
    2,024.64x = 3,034.74 × 854.37
  4. Step 4: Simplify right side
    2,024.64x = 2,592,790.81
  5. Step 5: Solve for x
    x = 2,592,790.81/2,024.64
  6. Step 6: Final answer
    x = 1,280.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.